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January 23, 2026Water0 citationsOpen Access

A Baseflow Equation: Example of the Middle Yellow River Basins

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HTHuan TongLWLi Wan

Key Points

  • The aim is to develop a more accurate baseflow estimation method that considers human water use and evapotranspiration effects.
  • Developed a physically based baseflow equation integrating human water withdrawals and evapotranspiration losses.
  • Reformulated the equation from a nonlinear storage–discharge relationship.
  • Validated the model against multi-decadal streamflow records in the Middle Yellow River Basin.
  • The proposed model accurately reproduces recession behavior across sub-basins (NSE ≥ 0.94).
  • The model shows a low root mean square error (RMSE ≤ 152 m3 s−1).
  • Provides reliable baseflow estimates that enhance eco-hydrological assessments.

Abstract

Existing baseflow estimation methods—such as exponential recession models, linear reservoir approaches, and digital filtering techniques—seldom account for anthropogenic disturbances or evapotranspiration-induced streamflow alterations. To address this limitation, a physically based baseflow equation that explicitly integrates human water withdrawals and evapotranspiration losses has been introduced. The governing equation was reformulated from a nonlinear storage–discharge relationship and validated against multi-decadal streamflow records in the Middle Yellow River Basin (MYRB). Results demonstrate that the proposed model accurately reproduces observed recession behavior across diverse sub-basins (NSE ≥ 0.94; RMSE ≤ 152 m3 s−1). By providing reliable baseflow estimates, the equation enables quantitative assessment of eco-hydrological benefits and informs cost-effective water-resource investments. Furthermore, long-term baseflow simulations driven by climate projections offer a scientific basis for evaluating climate-change impacts on regional water security.

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Cite This Study

Tong et al. (2026) studied this question.

synapsesocial.com/papers/69730f59c8125b09b0d1f254https://doi.org/10.3390/w18020280
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